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Finding the Fourth Proportional to 701.90, 968.67 and 422.27

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Solution

The fourth proportional to 701.90, 968.67 and 422.27 is: 582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.90 : 968.67 = 422.27 : x
  2. Step 2: Convert to fraction form
    701.90/968.67 = 422.27/x
  3. Step 3: Cross multiply
    701.90x = 968.67 × 422.27
  4. Step 4: Simplify right side
    701.90x = 409,035.44
  5. Step 5: Solve for x
    x = 409,035.44/701.90
  6. Step 6: Final answer
    x = 582.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.